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Finding the Fourth Proportional to 198,986,871,409.80, 298,480,307,114.70 and 198,986,871,409.80

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Solution

The fourth proportional to 198,986,871,409.80, 298,480,307,114.70 and 198,986,871,409.80 is: 298,480,307,114.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,986,871,409.80 : 298,480,307,114.70 = 198,986,871,409.80 : x
  2. Step 2: Convert to fraction form
    198,986,871,409.80/298,480,307,114.70 = 198,986,871,409.80/x
  3. Step 3: Cross multiply
    198,986,871,409.80x = 298,480,307,114.70 × 198,986,871,409.80
  4. Step 4: Simplify right side
    198,986,871,409.80x = 59,393,662,490,190,419,066,880
  5. Step 5: Solve for x
    x = 59,393,662,490,190,419,066,880/198,986,871,409.80
  6. Step 6: Final answer
    x = 298,480,307,114.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.